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2220002208 = 253310392473
BaseRepresentation
bin1000010001010010…
…1000101110100000
312201201022210112000
42010110220232200
514021310032313
61004142204000
7106004464434
oct20424505640
95651283460
102220002208
11a3a151576
1251b583600
13294c15a98
14170ba69c4
15ced6d673
hex84528ba0

2220002208 has 96 divisors (see below), whose sum is σ = 6483859200. Its totient is φ = 738989568.

The previous prime is 2220002207. The next prime is 2220002233. The reversal of 2220002208 is 8022000222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2220002201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896460 + ... + 898932.

It is an arithmetic number, because the mean of its divisors is an integer number (67540200).

Almost surely, 22220002208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220002208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241929600).

2220002208 is an abundant number, since it is smaller than the sum of its proper divisors (4263856992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2220002208 is a wasteful number, since it uses less digits than its factorization.

2220002208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2220002208 is about 47116.8993886482. The cubic root of 2220002208 is about 1304.5211825101.

The spelling of 2220002208 in words is "two billion, two hundred twenty million, two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1039 2078 2473 3117 4156 4946 6234 7419 8312 9351 9892 12468 14838 16624 18702 19784 22257 24936 28053 29676 33248 37404 39568 44514 49872 56106 59352 66771 74808 79136 89028 99744 112212 118704 133542 149616 178056 224424 237408 267084 299232 356112 448848 534168 712224 897696 1068336 2136672 2569447 5138894 7708341 10277788 15416682 20555576 23125023 30833364 41111152 46250046 61666728 69375069 82222304 92500092 123333456 138750138 185000184 246666912 277500276 370000368 555000552 740000736 1110001104 2220002208